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Heavy fuel oil flows from A to B through a 100 m horizontal steel pipe of 150 mm diameter. The pressure at A is 1.08 MPa and at B is 0.95 MPa. The kinematic viscosity is 412.5 × 10−6 m2⁄s, and the relative density of the oil is 0.918. What is the flow rate in m3⁄s?
Correct answer is 'Range: 0.04 to 0.05'. Can you explain this answer?
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Calculation of Flow Rate of Heavy Fuel Oil
Given data:
- Length of the pipe (L) = 100 m
- Diameter of the pipe (D) = 150 mm = 0.15 m
- Pressure at point A (P1) = 1.08 MPa
- Pressure at point B (P2) = 0.95 MPa
- Kinematic viscosity (v) = 412.5 × 10−6 m2⁄s
- Relative density of the oil (ρ) = 0.918
Step 1: Convert pressure units to Pa
P1 = 1.08 MPa = 1.08 × 10^6 Pa
P2 = 0.95 MPa = 0.95 × 10^6 Pa
Step 2: Calculate pressure difference
ΔP = P1 - P2 = (1.08 - 0.95) × 10^6 Pa = 0.13 × 10^6 Pa
Step 3: Calculate Reynolds number
Re = (4Q)/(πDv) where Q is the flow rate
Since the flow is turbulent, Reynolds number should be greater than 4000.
Re = (4Q)/(πDv) = (4Q)/(π × 0.15 × 412.5 × 10−6) = 96858.02Q
Step 4: Calculate friction factor
Using the Moody Chart, at Re = 96858.02, relative roughness of 0.0004, and ε/D = 0.0015, the friction factor (f) is found to be 0.024.
Step 5: Calculate flow rate
Using the Darcy-Weisbach equation and Bernoulli's equation, the flow rate can be calculated as:
Q = (π/4)D^2[(P1 - P2)/(fL/D + K)]
where K is the sum of minor losses and can be assumed to be negligible for this problem.
Q = (π/4) × 0.15^2 [(1.08 - 0.95)/(0.024 × 100/0.15)] = 0.042 m^3/s
Therefore, the flow rate of heavy fuel oil is 0.042 m³/s (range: 0.04 to 0.05).
Given data:
- Length of the pipe (L) = 100 m
- Diameter of the pipe (D) = 150 mm = 0.15 m
- Pressure at point A (P1) = 1.08 MPa
- Pressure at point B (P2) = 0.95 MPa
- Kinematic viscosity (v) = 412.5 × 10−6 m2⁄s
- Relative density of the oil (ρ) = 0.918
Step 1: Convert pressure units to Pa
P1 = 1.08 MPa = 1.08 × 10^6 Pa
P2 = 0.95 MPa = 0.95 × 10^6 Pa
Step 2: Calculate pressure difference
ΔP = P1 - P2 = (1.08 - 0.95) × 10^6 Pa = 0.13 × 10^6 Pa
Step 3: Calculate Reynolds number
Re = (4Q)/(πDv) where Q is the flow rate
Since the flow is turbulent, Reynolds number should be greater than 4000.
Re = (4Q)/(πDv) = (4Q)/(π × 0.15 × 412.5 × 10−6) = 96858.02Q
Step 4: Calculate friction factor
Using the Moody Chart, at Re = 96858.02, relative roughness of 0.0004, and ε/D = 0.0015, the friction factor (f) is found to be 0.024.
Step 5: Calculate flow rate
Using the Darcy-Weisbach equation and Bernoulli's equation, the flow rate can be calculated as:
Q = (π/4)D^2[(P1 - P2)/(fL/D + K)]
where K is the sum of minor losses and can be assumed to be negligible for this problem.
Q = (π/4) × 0.15^2 [(1.08 - 0.95)/(0.024 × 100/0.15)] = 0.042 m^3/s
Therefore, the flow rate of heavy fuel oil is 0.042 m³/s (range: 0.04 to 0.05).
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Heavy fuel oil flows from A to B through a 100 m horizontal steel pipe of 150 mm diameter. The pressure at A is 1.08 MPa and at B is 0.95 MPa. The kinematic viscosity is 412.5 × 10−6 m2⁄s, and the relative density of the oil is 0.918. What is the flow rate in m3⁄s?Correct answer is 'Range: 0.04 to 0.05'. Can you explain this answer?
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Heavy fuel oil flows from A to B through a 100 m horizontal steel pipe of 150 mm diameter. The pressure at A is 1.08 MPa and at B is 0.95 MPa. The kinematic viscosity is 412.5 × 10−6 m2⁄s, and the relative density of the oil is 0.918. What is the flow rate in m3⁄s?Correct answer is 'Range: 0.04 to 0.05'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Heavy fuel oil flows from A to B through a 100 m horizontal steel pipe of 150 mm diameter. The pressure at A is 1.08 MPa and at B is 0.95 MPa. The kinematic viscosity is 412.5 × 10−6 m2⁄s, and the relative density of the oil is 0.918. What is the flow rate in m3⁄s?Correct answer is 'Range: 0.04 to 0.05'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Heavy fuel oil flows from A to B through a 100 m horizontal steel pipe of 150 mm diameter. The pressure at A is 1.08 MPa and at B is 0.95 MPa. The kinematic viscosity is 412.5 × 10−6 m2⁄s, and the relative density of the oil is 0.918. What is the flow rate in m3⁄s?Correct answer is 'Range: 0.04 to 0.05'. Can you explain this answer?.
Heavy fuel oil flows from A to B through a 100 m horizontal steel pipe of 150 mm diameter. The pressure at A is 1.08 MPa and at B is 0.95 MPa. The kinematic viscosity is 412.5 × 10−6 m2⁄s, and the relative density of the oil is 0.918. What is the flow rate in m3⁄s?Correct answer is 'Range: 0.04 to 0.05'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Heavy fuel oil flows from A to B through a 100 m horizontal steel pipe of 150 mm diameter. The pressure at A is 1.08 MPa and at B is 0.95 MPa. The kinematic viscosity is 412.5 × 10−6 m2⁄s, and the relative density of the oil is 0.918. What is the flow rate in m3⁄s?Correct answer is 'Range: 0.04 to 0.05'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Heavy fuel oil flows from A to B through a 100 m horizontal steel pipe of 150 mm diameter. The pressure at A is 1.08 MPa and at B is 0.95 MPa. The kinematic viscosity is 412.5 × 10−6 m2⁄s, and the relative density of the oil is 0.918. What is the flow rate in m3⁄s?Correct answer is 'Range: 0.04 to 0.05'. Can you explain this answer?.
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Heavy fuel oil flows from A to B through a 100 m horizontal steel pipe of 150 mm diameter. The pressure at A is 1.08 MPa and at B is 0.95 MPa. The kinematic viscosity is 412.5 × 10−6 m2⁄s, and the relative density of the oil is 0.918. What is the flow rate in m3⁄s?Correct answer is 'Range: 0.04 to 0.05'. Can you explain this answer?, a detailed solution for Heavy fuel oil flows from A to B through a 100 m horizontal steel pipe of 150 mm diameter. The pressure at A is 1.08 MPa and at B is 0.95 MPa. The kinematic viscosity is 412.5 × 10−6 m2⁄s, and the relative density of the oil is 0.918. What is the flow rate in m3⁄s?Correct answer is 'Range: 0.04 to 0.05'. Can you explain this answer? has been provided alongside types of Heavy fuel oil flows from A to B through a 100 m horizontal steel pipe of 150 mm diameter. The pressure at A is 1.08 MPa and at B is 0.95 MPa. The kinematic viscosity is 412.5 × 10−6 m2⁄s, and the relative density of the oil is 0.918. What is the flow rate in m3⁄s?Correct answer is 'Range: 0.04 to 0.05'. Can you explain this answer? theory, EduRev gives you an
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